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131034302102430 = 23353713116546757
BaseRepresentation
bin11101110010110011001101…
…000001111011101110011110
3122011221202102210220001201000
4131302303031001323232132
5114133331222314234210
61142404154413331130
736412626105420156
oct3562631501735636
9564852383801630
10131034302102430
113882a376530401
12128433aa796aa6
1358166352c024c
142450146163766
151023782485ac0
hex772ccd07bb9e

131034302102430 has 64 divisors (see below), whose sum is σ = 358868719298880. Its totient is φ = 33998089191552.

The previous prime is 131034302102351. The next prime is 131034302102491. The reversal of 131034302102430 is 34201203430131.

It is a happy number.

131034302102430 is a `hidden beast` number, since 1 + 3 + 10 + 3 + 4 + 3 + 0 + 210 + 2 + 430 = 666.

It is a super-2 number, since 2×1310343021024302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131034302102394 and 131034302102403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6558263389 + ... + 6558283368.

It is an arithmetic number, because the mean of its divisors is an integer number (5607323739045).

Almost surely, 2131034302102430 is an apocalyptic number.

131034302102430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131034302102430 is an abundant number, since it is smaller than the sum of its proper divisors (227834417196450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131034302102430 is a wasteful number, since it uses less digits than its factorization.

131034302102430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13116546810 (or 13116546804 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131034302102430 its reverse (34201203430131), we get a palindrome (165235505532561).

The spelling of 131034302102430 in words is "one hundred thirty-one trillion, thirty-four billion, three hundred two million, one hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 13116546757 26233093514 39349640271 65582733785 78699280542 118048920813 131165467570 196748201355 236097841626 354146762439 393496402710 485312230009 590244604065 708293524878 970624460018 1180489208130 1455936690027 1770733812195 2426561150045 2911873380054 3541467624390 4367810070081 4853122300090 7279683450135 8735620140162 13103430210243 14559366900270 21839050350405 26206860420486 43678100700810 65517151051215 131034302102430